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Finding the Fourth Proportional to 18,434.12, 27,649.64 and 9,539.87

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Solution

The fourth proportional to 18,434.12, 27,649.64 and 9,539.87 is: 14,309.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,434.12 : 27,649.64 = 9,539.87 : x
  2. Step 2: Convert to fraction form
    18,434.12/27,649.64 = 9,539.87/x
  3. Step 3: Cross multiply
    18,434.12x = 27,649.64 × 9,539.87
  4. Step 4: Simplify right side
    18,434.12x = 263,773,785.20
  5. Step 5: Solve for x
    x = 263,773,785.20/18,434.12
  6. Step 6: Final answer
    x = 14,309.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.